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Matematicheskie Zametki, 2005, Volume 78, Issue 1, Pages 132–139
DOI: https://doi.org/10.4213/mzm2567 (Mi mzm2567) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Elementary Birational Maps between Mori Toric Fiber 3-Spaces

K. A. Shramov

M. V. Lomonosov Moscow State University
Full-text PDF (207 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2567
Abstract: In the present paper, we classify elementary equivariant birational maps (links) between Mori toric fiber 3-spaces. These links are naturally divided into several classes, depending on the dimension of the bases. For classes containing finitely many links, we present a complete list, in other cases we provide a local description (see the statements in Sec. 4). Almost all the proofs are of combinatorial nature, which is why we present proofs of the results from Sec. 3 only.
Received: 09.03.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 1, Pages 120–127
DOI: https://doi.org/10.1007/s11006-005-0105-0
Bibliographic databases:
Document Type: Article
UDC: 512.763
Language: Russian
Citation: K. A. Shramov, “Elementary Birational Maps between Mori Toric Fiber 3-Spaces”, Mat. Zametki, 78:1 (2005), 132–139; Math. Notes, 78:1 (2005), 120–127
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm2567
  • https://doi.org/10.4213/mzm2567
  • https://www.mathnet.ru/eng/mzm/v78/i1/p132
    • This publication is cited in the following 2 articles:
    1. Pan I., “On Cremona Transformations of P-3 Which Factorize in a Minimal Form”, Rev. Union Mat. Argent., 54:2 (2013), 37–58  mathscinet  zmath  isi
    2. Ivan Pan, “On the untwisting of general de Jonquières and cubo-cubic Cremona transformations of P3”, Beitr Algebra Geom, 53:1 (2012), 181  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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